3 papers
math.GN2026
On the -invariance of the hereditary Baire property and related results
Mikołaj Krupski, Kacper Kucharski
We prove that if and are first-countable perfect spaces such that the free Abelian topological groups and are topologically isomorphic, then is a heredita…
math.GN2026
The Cartesian product of any family of -spaces is -Fréchet-Urysohn
Mikołaj Krupski, Kacper Kucharski
In this note, we prove that an arbitrary product of -spaces is a -Fréchet-Urysohn space. We also show that the boundary tightness of a product is at most pro…
math.GN2026
Function spaces on separable compact lines
Kacper Kucharski
In this paper, we provide a complete isomorphism classification of the spaces of real-valued continuous functions endowed with the topology of pointwise convergence for se…